Gaussian distributions of Kloosterman sums: vertical and horizontal

DOI10.1007/s11139-017-9905-6zbMath1432.11110OpenAlexW2611844912MaRDI QIDQ1676095

Ping Xi

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9905-6

zbMATH Keywords

Gaussian distributioncentral limit theoremKloosterman sumChebyshev polynomial

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Gauss and Kloosterman sums; generalizations (11L05)

Related Items

Kloosterman sums and a problem of D. H. Lehmer ⋮ Moments of moments of primes in arithmetic progressions ⋮ Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate ⋮ Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves

Cites Work

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• Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions
• Quantitative version of the joint distribution of eigenvalues of the Hecke operators
• On short sums of trace functions
• On the Sato-Tate conjecture for Kloosterman sums
• Sign changes of Kloosterman sums with almost prime moduli
• The distribution of values of short hybrid exponential sums on curves over finite fields
• On the sign change of Kloosterman sums
• Algebraic trace functions over the primes
• The distribution of short character sums
• A note on signs of Kloosterman sums
• The distribution of the eigenvalues of Hecke operators
• Distribution of Hecke eigenvalues
• Crible asymptotique et sommes de Kloosterman
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• On the pseudorandomness of the signs of Kloosterman sums
• On Some Exponential Sums